Results 131 to 140 of about 1,453 (167)

Automorphisms of Automorphism Group of Dihedral Groups

Creative Mathematics and Informatics, 2023
The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
Sajikumar, Sadanandan   +2 more
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Induced Automorphisms

2014
Conference held at the Centre de Recerca Matematica ; International ...
Guirardel, Vincent, Levitt, Gilbert
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Half-automorphisms of free automorphic moufang loops

Mathematical Notes, 2015
In this note the authors study half-automorphisms of Moufang loops. They show that \textit{W. R. Scott}'s results [in Proc. Am. Math. Soc. 8, 1141-1144 (1958; Zbl 0080.24504)] hold for free automorphic Moufang loops. According to the authors for arbitrary automorphic Moufang loops, this is not known yet. The result of the authors is Theorem 3: Let \(A\)
Grishkov, A.   +3 more
openaire   +1 more source

Lifting Automorphisms

K-Theory, 1999
Let \(E\) be an essential extension \(0\to{\mathcal K}\to E@>\pi>> A\to 0\) given by a monomorphism \(\tau: A\to\text{End}(\ell^2)/{\mathcal K}\), where \(A\) is a separable \(C^*\)-algebra, \({\mathcal K}\) is the \(C^*\)-algebra of compact operators on the Hilbert space \(\ell^2\).
openaire   +1 more source

Lip Automorphism Germ and Lip Automorphism

Acta Mathematica Sinica, English Series, 2004
A continuous map \(f: X\to Y\) between metric spaces is called a Lip map if for every \(x\in X\), there is an open neighborhood \(U_x\) of \(x\) in \(X\) such that \(f\mid U_x\) is Lipschitz. If \(f\) is a homeomorphism and \(f\) and \(f^{-1}\) are Lip maps, \(f\) is called a Lip homeomorphism. A topological \(n\)-bundle \((E,\pi,X)\) is called a Lip \(
openaire   +2 more sources

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